Calculation of scores

The Partial Order Relation constructed on the basis of this
collection of variables,

a p b for any cases a and b

is equivalent to the condition

x1(a) £ x1(b), x2(a) £ x2(b), ….,xv(a)
£ xv(b)

where xi(a) and xi(b) denote values of
the ith variable for cases a and b
respectively.

When comparing two cases, the variables of highest priority (lowest
level value) are considered first. If they unambiguously determine the
relation, the comparison procedure ends. In the situation of equality, the
comparison is continued using variables of the next priority level.

This procedure is repeated until the relation is determined at one of the
priority levels, or the end of the variable list is reached.

For each case a from the analyzed set, the program calculates:

= the number of
cases strictly dominating the case a

N(a) = the number of
cases equivalent to the case a

= the number of
cases strictly dominated by the case a

and then one (or two) of the following scores:

where

N = total number of cases in the
analyzed set

S = the value of the scale factor,
i.e. the value specifying the range of the score computed (usually 100)